定期检修多态退化可修系统的维修更换策略

针对带定期检修的多状态退化可修系统提出了一种最优维修更换策略。假定系统部件有多个失效状态，并在故障时依概率进入其中某个状态，假定系统检修“修复如旧”和故障维修“修复非新”，系统在检修期间停止工作，检修不影响系统寿命，系统依概率在工作状态、定期检修状态和故障维修状态时达到系统的有效年龄T，在系统更换策略为其有效年龄T的条件下，取系统经长期运行单位时间内期望效益为目标函数，利用推广的几何过程和更新过程理论建立了系统数学模型，并求出了系统期望效益的解析表达式，进一步利用数值法或分析法可以求出最优维修更换策略T*。该维修更换策略及其模型对于工程实践具有一定的指导意义和参考价值。

Maintenance and replacement policy for a repairable multi-state system with regular preventive repairs

To study a deteriorating repairable multi-state system with regular preventive repairs, a new maintenance and replacement policy is proposed. Assume that the component in the system has more than one failure states. The occurrence of a failure state of any one type is mutually exclusive and stochastic. The regular preventive repair is “as good as old” and the repair after the system failure is not “as good as new”. The system is not running during the period of the regular preventive repairs and the effective age of the system is not effected by the regular preventive repairs. The arrival of the effective age of the system is assumed to be mutually stochastic at the working state, the preventive repair state or the maintenance state. Under these assumptions, we consider a replacement policy T based on the effective age of the system. By using the generalized geometric process theory and the renewal process theory, the mathematic model is been established and the explicit expression of the long run expected profit per unit time is derived. The optimal maintenance and replacement policy T* can be calculated by the computer. Finally, we discuss the results of the model. This model can be used as references to the failure system maintenance and replacement.